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Unformatted text preview: Steven Weber Dept. of ECE Drexel University ENGR 361: Statistical Analysis of Engineering Systems (Spring, 2008) Homework 2 Solutions (Monday, April 7) Question 1: Exercise 30, § 2.3, p65. A friend of mine is giving a dinner party. His current wine supply includes 8 bottles of zinfandel, 10 of merlot, and 12 of cabernet, all from different wineries. • If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? Order is important means we want a permutation. Use the permutation rule with n = 8 and k = 3. 8 × 7 × 6 = 336 . (1) • If 6 bottles of wine are to be randomly selected from the 30 for serving, how many ways are there to do this? If order is unimportant then we want a combination: ( 30 6 ) = 593 , 775. If order is important then we want a permutation: 30 × 29 × 28 × 27 × 26 × 25 = 427 , 518 , 000. • If 6 bottles are to be randomly selected, how many ways are there to obtain two bottles of each variety?...
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